Question 1

Compute the correlation coefficient for the data below
$\begin{array}{|l|c|c|c|}
\hline \text { X values } & -5 & -1 & 4 \
\hline \text { Y values } & 6 & 3 & -3 \
\hline
\end{array}$

Accepted Answer

A)  0.942 
B)  -0.347 
C)  -0.496 
D)  -0.992
F 
A)  0.942 
B)  -0.347 
C)  -0.496 
D)  -0.992
F

Question 2

$$\text { Compute the intercept of the regression line for the data }$$ below

$\begin{array}{cccccc}
\text { X values } & -5 & 0 & 3 & 6 & 11 \
\text { Y values } & 5 & 5 & -2 & 2 & -3
\end{array}$

Accepted Answer

A)  1.38 
B)  2.90 
C)  3.77 
D)  7.54 
A)  1.38 
B)  2.90 
C)  3.77 
D)  7.54

Question 3

A study was conducted to determine if there was a linear relationship between a person's age and his/ her peak heart rate. Construct a scatter plot and determine what type of relationship there is between a
$\begin{array} { l l c } & \text { Age, } x & \text { Peak Heart Rate } \ & 16 & 220 \ & 26 & 194 \ & 32 & 193 \ & 37 & 178 \ & 42 & 172 \ & 53 & 160 \ \text { person's age and his/her peak heart rate. } & 21 & 174 \ & 48 & 214 \end{array}$

Accepted Answer

The answer of A study was conducted to determine if...

Question 4

If the equation for the regression line is y = -8x + 3, then the intercept of this line is

Accepted Answer

A)  6 
B)  3 
C)  -5 
D)  -8 
A)  6 
B)  3 
C)  -5 
D)  -8

Question 5

A correlation coefficient of 0.96 would mean that the values of x increase as the values of y decrease.

Accepted Answer

A) True 
 B)False

Question 6

A positive linear relationship exists when the points in a Pareto graph fall approximately in an ascending
straight line.

Accepted Answer

A) True 
 B)False

Question 7

A realtor wanted to determine if there was a relationship between the size (in hundreds of square feet) of a new custom-built home and the price (in thousands of dollars) of the home. Find the equation of the
$\begin{array} { l l l } & \text { Size, } x & \text { Price, } y \ & 26 & 235 \ & 27 & 273 \ & 41 & 387 \ & 29 & 253 \ \text { regression line and graph the line on a scatter plot. } & 33 & 295 \ & 34 & 335 \ & 36 & 395 \ & 45 & 475 \ & 203 & 203 \end{array}$

Accepted Answer

The answer of A realtor wanted to determine if there...

Question 8

Two researchers run identical experiments, except researcher A collects twice as many points as researcher B. For a specific value of x, researcher A estimates a y value of
$\mathrm { y } _ { \mathrm {A} } ^ { \prime }$
 , and researcher B
Estimates a y value of
$\mathrm { y } _ { \mathrm { B } } ^ { \prime }$
 . We would expect that researcher A's 95% prediction interval around
$\mathrm { y } _ { \mathrm { A } } ^ { \prime }$ to be,
In general,

Accepted Answer

A)  wider than researcher B's 95% prediction interval around $\mathrm { y } _ { \mathrm { B } } ^ { \prime }$ 
B)  narrower than researcher B's 95% prediction interval around $\mathrm { y } _ { \mathrm { B } } ^ { \prime }$ 
C)  the same as researcher B's 95% prediction interval around $\mathrm { y } _ { \mathrm { B } } ^ { \prime }$ 
D)  wider than researcher B's 95% prediction interval around $\mathrm { y } _ { \mathrm { B } } ^ { \prime }$ or narrower than researcher B's 95%
) prediction interval around
$\mathrm { y } _ { \mathrm { B } } ^ { \prime }$

, with equal probability 
A)  wider than researcher B's 95% prediction interval around $\mathrm { y } _ { \mathrm { B } } ^ { \prime }$ 
B)  narrower than researcher B's 95% prediction interval around $\mathrm { y } _ { \mathrm { B } } ^ { \prime }$ 
C)  the same as researcher B's 95% prediction interval around $\mathrm { y } _ { \mathrm { B } } ^ { \prime }$ 
D)  wider than researcher B's 95% prediction interval around $\mathrm { y } _ { \mathrm { B } } ^ { \prime }$ or narrower than researcher B's 95%
) prediction interval around
$\mathrm { y } _ { \mathrm { B } } ^ { \prime }$

, with equal probability

Question 9

A study was conducted to determine if there was a relationship between the prices a non-member of a club paid for various publications and the prices that a member paid for the same publications. The data collected are shown below. Find the value of

$\sum x^{2}$            $\begin{array}{lc}
\text { Non-member } & \text { Member } \
\text { Price, } x & \text { Price, } y \
58 & 32 \
42 & 22 \
46 & 20 \
32 & 16 \
25 & 19 \
75 & 58 \
35 & 34 \
63 & 48
\end{array}$

Accepted Answer

A)  13,251 
B)  93,624 
C)  19,712 
D)  9349 
A)  13,251 
B)  93,624 
C)  19,712 
D)  9349

Question 10

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

Accepted Answer

A)  direct cause-and-effect 
B)  reverse cause-and-effect 
C)  caused by a third variable 
D)  negative effect 
A)  direct cause-and-effect 
B)  reverse cause-and-effect 
C)  caused by a third variable 
D)  negative effect

Question 11

If the correlation between two variables is computed to be 0.012, one can conclude that there is
essentially no relation between the two variables.

Accepted Answer

A) True 
 B)False

Question 12

$$\begin{array}{l}
\text { The western city wishes to see if there is a relationship between the summer temperature and the amount }\
\begin{array} { c c c } 
& \left. \operatorname { Temp } ^ { \circ } { } ^ { \circ } \mathrm { C } \right) & \text { Kilowatts, } { } ^ { y } \
& 22.7 & 680 \
& 25.5 & 760 \
& 29.4 & 910 \
& 36.6 & 1,510 \
& 38.8 & 1,170 \
& 27.2 & 837 \
\text { of electricity used (in kilowatts). } & 24.4 & 600 \
& 40.5 & 1,800
\end{array}
\end{array}$$
-Compute the test value for the data in the table.

Accepted Answer

A)  8.329 
B)  6.785 
C)  5.919 
D)  9.648 
A)  8.329 
B)  6.785 
C)  5.919 
D)  9.648

Question 13

In a multiple regression model $y ^ { \prime } = - 14 + 2 x _ { 2 } + 11 x _ { 2 } + 7 x _ { 3 } + 5 x _ { 4 }$ if the value of $\mathrm { X } _ { 2 }$ increases by 6 and the value of x3 decreases by 3, then the predicted value for y will

Accepted Answer

A)  increase by 87 
B)  decrease by 87 
C)  increase by 45 
D)  decrease by 45 
A)  increase by 87 
B)  decrease by 87 
C)  increase by 45 
D)  decrease by 45

Question 14

What is the equation for the regression line if $n = 7 , \sum x = 69 , \sum y = 528 , \sum x y = 4754$, and $\sum x ^ { 2 } = 825 ?$

Accepted Answer

A)  $y ^ { \prime } = 106.089 - 3110 x$ 
B)  $y ^ { \prime } = 109638 - 2168 x$ 
C)  $y ^ { \prime } = - 3110 + 106089 x$ 
D)  $y ^ { \prime } = - 2168 + 109.638 x$ 
A)  $y ^ { \prime } = 106.089 - 3110 x$ 
B)  $y ^ { \prime } = 109638 - 2168 x$ 
C)  $y ^ { \prime } = - 3110 + 106089 x$ 
D)  $y ^ { \prime } = - 2168 + 109.638 x$

Question 15

The two variables in a scatter plot are called the

Accepted Answer

A)  Independent variable and dependent variable 
B)  Relative frequency and relative proportion 
C)  Spread and pattern 
D)  Lines and points 
A)  Independent variable and dependent variable 
B)  Relative frequency and relative proportion 
C)  Spread and pattern 
D)  Lines and points

Question 16

$$\begin{array}{l}
\text { The western city wishes to see if there is a relationship between the summer temperature and the amount }\
\begin{array} { c c c } 
& \left. \operatorname { Temp } ^ { \circ } { } ^ { \circ } \mathrm { C } \right) & \text { Kilowatts, } { } ^ { y } \
& 22.7 & 680 \
& 25.5 & 760 \
& 29.4 & 910 \
& 36.6 & 1,510 \
& 38.8 & 1,170 \
& 27.2 & 837 \
\text { of electricity used (in kilowatts). } & 24.4 & 600 \
& 40.5 & 1,800
\end{array}
\end{array}$$
-Compute the value of the correlation coefficient for the data in the table.

Accepted Answer

A)  0.924 
B)  0.834 
C)  0.798 
D)  0.938 
A)  0.924 
B)  0.834 
C)  0.798 
D)  0.938

Question 17

$$\text { Test the significance of the correlation coefficient } \mathrm { r } \text { at } \ddagger = .05 \text { for the data }$$ below
$\begin{array}{lcccc}
\text { X values } & -6 & -1 & 1 & 4 \
\text { Y values } & 2 & -1 & -2 & -2
\end{array}$

Accepted Answer

A)  Do not reject -= 0 because -4.31  3.18 
C)  Do not reject -= 0 because -3.99 > -4.30 
D)  Reject -= 0 because -4.31 > 2.78 
A)  Do not reject -= 0 because -4.31  3.18 
C)  Do not reject -= 0 because -3.99 > -4.30 
D)  Reject -= 0 because -4.31 > 2.78

Question 18

Compute the correlation coefficient for the data below
$\begin{array}{|l|c|c|c|}
\hline \text { X values } & -2 & -1 & 0 \
\hline \mathbf{Y} \text { values } & 4 & 2 & 8 \
\hline
\end{array}$

Accepted Answer

A)  0.123 
B)  10.857 
C)  0.001 
D)  0.082 
A)  0.123 
B)  10.857 
C)  0.001 
D)  0.082

Question 19

__________ is a statistical method used to determine whether a relationship between variables exists. 
________________________________________

Accepted Answer

The answer of __________ is a statistical method used to...

Question 20

Regression is a statistical method used to describe the nature of the relationship between variables.

Accepted Answer

A) True 
 B)False

Compute the correlation coefficient for the data below X values -5 -1 4 Y values 6 3 -3

$\text { Compute the intercept of the regression line for the data }$ below X values -5 0 3 6 11 Y values 5 5 -2 2 -3

If the equation for the regression line is y = -8x + 3, then the intercept of this line is

A correlation coefficient of 0.96 would mean that the values of x increase as the values of y decrease.

A positive linear relationship exists when the points in a Pareto graph fall approximately in an ascending straight line.

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

If the correlation between two variables is computed to be 0.012, one can conclude that there is essentially no relation between the two variables.

The western city wishes to see if there is a relationship between the summer temperature and the amount Kilowatts, 22.7 680 25.5 760 29.4 910 36.6 1,510 38.8 1,170 27.2 837 of electricity used (in kilowatts). 24.4 600 40.5 1,800 -Compute the test value for the data in the table.

In a multiple regression model $y ^ { \prime } = - 14 + 2 x _ { 2 } + 11 x _ { 2 } + 7 x _ { 3 } + 5 x _ { 4 }$ if the value of $\mathrm { X } _ { 2 }$ increases by 6 and the value of x3 decreases by 3, then the predicted value for y will

What is the equation for the regression line if $n = 7 , \sum x = 69 , \sum y = 528 , \sum x y = 4754$ , and $\sum x ^ { 2 } = 825 ?$

The two variables in a scatter plot are called the

$\text { Test the significance of the correlation coefficient } \mathrm { r } \text { at } \ddagger = .05 \text { for the data }$ below X values -6 -1 1 4 Y values 2 -1 -2 -2

Compute the correlation coefficient for the data below X values -2 -1 0 values 4 2 8

is a statistical method used to determine whether a relationship between variables exists. ______________________________

Regression is a statistical method used to describe the nature of the relationship between variables.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Chi-Square and Analysis of Variance Anova

Tables

Data Bank

Glossary

Filters

Exam 9: Correlation and Regression

Compute the correlation coefficient for the data below X values -5 -1 4 Y values 6 3 -3

Compute the intercept of the regression line for the data \text { Compute the intercept of the regression line for the data } Compute the intercept of the regression line for the data below X values -5 0 3 6 11 Y values 5 5 -2 2 -3

If the equation for the regression line is y = -8x + 3, then the intercept of this line is

A correlation coefficient of 0.96 would mean that the values of x increase as the values of y decrease.

A positive linear relationship exists when the points in a Pareto graph fall approximately in an ascending straight line.

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

If the correlation between two variables is computed to be 0.012, one can conclude that there is essentially no relation between the two variables.

The western city wishes to see if there is a relationship between the summer temperature and the amount Kilowatts, 22.7 680 25.5 760 29.4 910 36.6 1,510 38.8 1,170 27.2 837 of electricity used (in kilowatts). 24.4 600 40.5 1,800 -Compute the test value for the data in the table.

What is the equation for the regression line if n=7,∑x=69,∑y=528,∑xy=4754n = 7 , \sum x = 69 , \sum y = 528 , \sum x y = 4754n=7,∑x=69,∑y=528,∑xy=4754 , and ∑x2=825?\sum x ^ { 2 } = 825 ?∑x2=825?

The two variables in a scatter plot are called the

Compute the correlation coefficient for the data below X values -2 -1 0 values 4 2 8

__________ is a statistical method used to determine whether a relationship between variables exists. ________________________________________

Regression is a statistical method used to describe the nature of the relationship between variables.

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Chi-Square and Analysis of Variance Anova

Tables

Data Bank

Glossary

Filters

$\text { Compute the intercept of the regression line for the data }$ below X values -5 0 3 6 11 Y values 5 5 -2 2 -3

What is the equation for the regression line if $n = 7 , \sum x = 69 , \sum y = 528 , \sum x y = 4754$ , and $\sum x ^ { 2 } = 825 ?$

is a statistical method used to determine whether a relationship between variables exists. ______________________________